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Finding the Fourth Proportional to 524.11, 723.12 and 413.23

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Solution

The fourth proportional to 524.11, 723.12 and 413.23 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.11 : 723.12 = 413.23 : x
  2. Step 2: Convert to fraction form
    524.11/723.12 = 413.23/x
  3. Step 3: Cross multiply
    524.11x = 723.12 × 413.23
  4. Step 4: Simplify right side
    524.11x = 298,814.88
  5. Step 5: Solve for x
    x = 298,814.88/524.11
  6. Step 6: Final answer
    x = 570.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.